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We investigate the structure of nontrivial maximally symmetric vacua and compact-object solutions in shift-symmetric scalar-tensor theories. Focusing on Horndeski gravity, we derive consistency conditions directly from the field equations…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Athanasios Bakopoulos , Christos Charmousis , Nikos Chatzifotis , Theodoros Nakas

We review spherical and inhomogeneous analytic solutions of the field equations of Einstein and of scalar-tensor gravity, including Brans-Dicke theory, non-minimally (possibly conformally) coupled scalar fields, Horndeski, and beyond…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Valerio Faraoni , Andrea Giusti , Bardia H. Fahim

The tachyonic instability is associated with the unboundedness of the Hamiltonian from below and results in an unstable low-$k$ regime. In the cosmological exploration of modified gravity, it is seldom taken into account, with more focus…

General Relativity and Quantum Cosmology · Physics 2019-02-19 Noemi Frusciante , Georgios Papadomanolakis , Simone Peirone , Alessandra Silvestri

A modified theory of gravity with the function $F(R) = R\exp(\alpha R)$ instead of Ricci scalar $R$ in the Einstein$-$Hilbert action is considered and analyzed. The action of the model is converted into Einstein$-$Hilbert action at small…

General Relativity and Quantum Cosmology · Physics 2013-09-30 S. I. Kruglov

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

High Energy Physics - Theory · Physics 2023-03-29 Qi-Yuan Mao , H. Lu

It is well known that the Einstein-Hilbert action in two dimensions is topological and yields an identically vanishing Einstein tensor. Consequently one is faced with difficulties when formulating a non-trivial gravity model. We present a…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Christian G. Boehmer , Erik Jensko

Modified gravity provides a possible explanation for the currently observed cosmic accelaration. In this paper, we study general classes of modified gravity models. The Einstein-Hilbert action is modified by using general functions of the…

Astrophysics · Physics 2008-11-26 Antonio De Felice , Pia Mukherjee , Yun Wang

We introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models. Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey…

High Energy Physics - Theory · Physics 2015-06-03 Jérôme Gleyzes , David Langlois , Federico Piazza , Filippo Vernizzi

We have explored a completely new and alternative way to restrict the parameter space of Horndeski theory of gravity. Using its Newtonian limit, it is possible to test the theory at a regime where, given its complexity and the small…

General Relativity and Quantum Cosmology · Physics 2023-06-26 Riccardo Della Monica , Ivan de Martino , Daniele Vernieri , Mariafelicia de Laurentis

Recently we have derived a set of mapping relations that enables the reconstruction of the family of Horndeski scalar-tensor theories which reproduce the background dynamics and linear perturbations of a given set of effective field theory…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-12 Joe Kennedy , Lucas Lombriser , Andy Taylor

We present numerical solutions of several spacetimes of physical interest, including binary black hole mergers, in shift-symmetric Einstein-scalar-Gauss-Bonnet (ESGB) gravity, and describe our methods for solving the full equations of…

General Relativity and Quantum Cosmology · Physics 2021-02-25 William E. East , Justin L. Ripley

The effective field theory (EFT) of cosmological perturbations is a useful framework to deal with the low-energy degrees of freedom present for inflation and dark energy. We review the EFT for modified gravitational theories by starting…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Shinji Tsujikawa

We explore Noether symmetries of Horndeski gravity, extending the classification of general scalar-tensor theories. Starting from the minimally coupled scalar field and the first-generation scalar-tensor gravity, the discussion is…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Marcello Miranda , Salvatore Capozziello , Daniele Vernieri

Scalar-tensor theories are promising dark energy models. A promising scalar-tensor theory, called Horndeski-like gravity, is coming from the application of the Horndeski gravity in string theory and cosmology that takes into account two…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Dani de Boe , Fabiano F. Santos , Jackson Levi Said

Gravitational waves (GW) are generally affected by modification of a gravity theory during propagation in cosmological distance. We numerically perform a quantitative analysis on Horndeski theory at cosmological scale to constrain the…

General Relativity and Quantum Cosmology · Physics 2018-05-28 Shun Arai , Atsushi Nishizawa

Linear cosmological perturbations of a large class of modified gravity and dark energy models can be unified in the effective field theory of cosmic acceleration, encompassing Horndeski scalar-tensor theories and beyond. The fully available…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-25 Lucas Lombriser , Andy Taylor

A generic second-order scalar-tensor theory contains a nonlinear derivative self-interaction of the scalar degree of freedom $\phi$ \`{a} la Galileon models, which allows for the Vainshtein screening mechanism. We investigate this effect on…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-20 Rampei Kimura , Tsutomu Kobayashi , Kazuhiro Yamamoto

We present the public version of hi_class (www.hiclass-code.net), an extension of the Boltzmann code CLASS to a broad ensemble of modifications to general relativity. In particular, hi_class can calculate predictions for models based on…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-17 Miguel Zumalacarregui , Emilio Bellini , Ignacy Sawicki , Julien Lesgourgues , Pedro G. Ferreira

Phenomenological functions $\Sigma$ and $\mu$, also known as $G_{\rm light}/G$ and $G_{\rm matter}/G$, are commonly used to parameterize modifications of the growth of large-scale structure in alternative theories of gravity. We study the…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-21 Simone Peirone , Kazuya Koyama , Levon Pogosian , Marco Raveri , Alessandra Silvestri

We present a formalism to study screening mechanisms in modified theories of gravity via perturbative methods in different cosmological scenarios. We consider Einstein frame posed theories that are recast as Jordan frame theories, where a…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-30 Alejandro Aviles , Jorge L. Cervantes-Cota , David F. Mota